What is the Least Common Multiple of 98032 and 98047?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 98032 and 98047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98032 and 98047, than apply into the LCM equation.

GCF(98032,98047) = 1
LCM(98032,98047) = ( 98032 × 98047) / 1
LCM(98032,98047) = 9611743504 / 1
LCM(98032,98047) = 9611743504

Least Common Multiple (LCM) of 98032 and 98047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98032 and 98047. First we will calculate the prime factors of 98032 and 98047.

Prime Factorization of 98032

Prime Factorization of 98047

Now multiplying the highest exponent prime factors to calculate the LCM of 98032 and 98047.

LCM(98032,98047) = 2⁴ × 11¹ × 557¹ × 98047¹
LCM(98032,98047) = 9611743504